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Bibliographic Details
Main Authors: Gusev, D., Ivanov-Pogodaev, I. A., Kanel-Belov, A.
Format: Preprint
Published: 2018
Subjects:
Online Access:https://arxiv.org/abs/1812.00716
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Table of Contents:
  • We prove that any finite system of interacted automata can not leave some finite arear of Calley graph of periodic group. If group has non-periodic element, then its Calley graph can be explored by some finite automata with 3 pebbles. If group is finitely generated and aperiodic then it can not be explored by any system of finite automata.